What is the Least Common Multiple of 30320 and 30336?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 30320 and 30336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30320 and 30336, than apply into the LCM equation.

GCF(30320,30336) = 16
LCM(30320,30336) = ( 30320 × 30336) / 16
LCM(30320,30336) = 919787520 / 16
LCM(30320,30336) = 57486720

Least Common Multiple (LCM) of 30320 and 30336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30320 and 30336. First we will calculate the prime factors of 30320 and 30336.

Prime Factorization of 30320

Prime Factorization of 30336

Now multiplying the highest exponent prime factors to calculate the LCM of 30320 and 30336.

LCM(30320,30336) = 2⁷ × 5¹ × 379¹ × 3¹ × 79¹
LCM(30320,30336) = 57486720